1212819840961 has 9 divisors (see below), whose sum is σ = 1230221714529. Its totient is φ = 1195660781700.

The previous prime is 1212819840907. The next prime is 1212819840989. The reversal of 1212819840961 is 1690489182121.

The square root of 1212819840961 is 1101281.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1212819840961 - 2²⁵ = 1212786286529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1212819840899 and 1212819840908.

It is not an unprimeable number, because it can be changed into a prime (1212819846961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78183196 + ... + 78198706.

Almost surely, 2^{1212819840961} is an apocalyptic number.

1212819840961 is the 1101281-st square number.

1212819840961 is the 550641-st centered octagonal number.

It is an amenable number.

1212819840961 is a deficient number, since it is larger than the sum of its proper divisors (17401873568).

1212819840961 is an frugal number, since it uses more digits than its factorization.

1212819840961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 52.

The spelling of 1212819840961 in words is "one trillion, two hundred twelve billion, eight hundred nineteen million, eight hundred forty thousand, nine hundred sixty-one".